LCM for 18 and 96

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What's the Least Common Multiple (LCM) of 18 and 96?

Answer

LCM of 18 and 96 is
288

(Two hundred eighty-eight)

Finding LCM for 18 and 96 using GCF of these numbers

The first method to find LCM for numbers 18 and 96 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 18 and 96 is 6, so

LCM = (18 × 96) ÷ 6

LCM = 1,728 ÷ 6

LCM = 288

Finding LCM for 18 and 96 by Listing Multiples

The second method to find LCM for numbers 18 and 96 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 18: 18, 36, 54, 72, 90, 108, 126, 144, 162, 180, 198, 216, 234, 252, 270, 288, 306, 324

Multiples of 96: 96, 192, 288, 384, 480

So the LCM for 18 and 96 is 288

Finding LCM for 18 and 96 by Prime Factorization

Another method to find LCM for numbers 18 and 96 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 18: 2, 3, 3 (exponent form: 21, 32)

All Prime Factors of 96: 2, 2, 2, 2, 2, 3 (exponent form: 25, 31)

25 × 32 = 288

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About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 18 and 96? (The answer is: 288). Select the first number (e.g. '18') and the second number (e.g. '96'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers
"Least Common Multiple" Calculator
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LCM Table

Number 1Number 2LCM
184590
1848144
1849882
1852468
185454
1856504
1857342
18591,062
1860180
1863126
1864576
1866198
1870630
187272
1875450
1878234
1880720
1881162
1884252
1888792
189090
1896288
1899198
18100900
18108108
181121,008
18120360
181301,170
18225450
182502,250

FAQ

What's the Least Common Multiple (LCM) of 18 and 96?

LCM of 18 and 96 is 288

How to find the LCM of 18 and 96 using prime factorization?

To find the LCM of 18 and 96, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 288.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 18 and 96: LCM = 288, GCF = 6.

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